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Finding the Third Proportional to 2,517,638.50 and 5,433,311

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Solution

The third proportional to 2,517,638.50 and 5,433,311 is: 11,725,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,638.50 : 5,433,311 = 5,433,311 : x
  2. Step 2: Convert to fraction form
    2,517,638.50/5,433,311 = 5,433,311/x
  3. Step 3: Cross multiply
    2,517,638.50x = 5,433,311 × 5,433,311
  4. Step 4: Simplify right side
    2,517,638.50x = 29,520,868,422,721
  5. Step 5: Solve for x
    x = 29,520,868,422,721/2,517,638.50
  6. Step 6: Final answer
    x = 11,725,618.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.